Pith Number

pith:7T3O3REA

pith:2016:7T3O3REA2IWZKYWJAMXHYADILK

not attested not anchored not stored refs pending

Generalized Schr\"odinger-Newton system in dimension $N\ge 3$: critical case

Antonio Azzollini, Giusi Vaira, Pietro d'Avenia

arxiv:1607.07322 v2 · 2016-07-25 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7T3O3REA2IWZKYWJAMXHYADILK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:10:19.628431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf6edc480d22d9562c9032e7c00685aa9cbc2cab3fccc28aafea83d75711852

Aliases

arxiv: 1607.07322 · arxiv_version: 1607.07322v2 · doi: 10.48550/arxiv.1607.07322 · pith_short_12: 7T3O3REA2IWZ · pith_short_16: 7T3O3REA2IWZKYWJ · pith_short_8: 7T3O3REA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7T3O3REA2IWZKYWJAMXHYADILK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fcf6edc480d22d9562c9032e7c00685aa9cbc2cab3fccc28aafea83d75711852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "473937c84e4eb71cfb78fe9436fc8b9c3f834dd2d58d8de1bee4c0ddaf867ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-25T15:46:51Z",
    "title_canon_sha256": "61690808b8aca30e88e66a5996aec4cab3453afb6298aed63e78b53a940da1b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07322",
    "kind": "arxiv",
    "version": 2
  }
}